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CHAPTER 6
EMPIRICAL ANALYSIS
6.1 Graphical and visual exploration
Graphical plots of both the variables- Exchange Rate and share prices
represented by SENSEX were made for the whole period(July1991to
June2006)separately and combined and for various time buckets from various
perspectives to visually explore the linkage, if any, between them and are
illustrated in the following sections. The major movements in the exchange rate
and SENSEX were tracked against the various episodes which appear to have
impacted change.
6.1.1 Graphical plot and episodic analysis of the behaviour of the
Exchange Rate:
A graphical plot of the daily exchange rate, measured in terms of the
daily rate1 of US Dollar per rupee for the period July 1991- June 2006 was
made to identify the major variations and trends in the value of rupee over the
period and is presented below .
118
1 Based on RBI reference rate (spot ) of US Dollar to the INR
Chart 6.1.1DAILY EXCHANGE RATE (DOLLAR PER RUPEE)
July 1991 - June2006
00.005
0.010.0150.02
0.025
0.030.0350.04
0.0450.05
7/1/
1991
7/1/
1992
7/1/
1993
7/1/
1994
7/1/
1995
7/1/
1996
7/1/
1997
7/1/
1998
7/1/
1999
7/1/
2000
7/1/
2001
7/1/
2002
7/1/
2003
7/1/
2004
7/1/
2005
Dol
lar P
er ru
pee
Source: Data analysis - drawn by taking the inverse of the daily exchange rates obtained from RBI publications.
Chart 6.1.1. depicts the dollar parity of rupee. The power of the rupee
measured in terms dollar per rupee, shows a steady decline up to 2001. The
exchange rate movement is punctuated by abrupt and sharp changes representing
currency depreciations in March 92, March 93, Sept 95, April 96 etc. and
characterized by long periods of placidity broken by sporadic changes which is
more of a practical illustration of what is described by the “Overshooting
Model“2. The period 2001 to 2006 appeared to be more calm and moderated by
market forces and was free from any momentous happenings.
119
2 Rudiger Dornbusch's masterpiece, "Expectations and Exchange Rate Dynamics" in the Journal of Political Economy, in 1976
6.1.2 An episodic analysis reveals the following.
Chart 6.1.2 a Rupees per Dollar
20
22
24
26
28
30
32
34
36
a) The impact of the initial devaluation of the rupee in June - July 1991
continued for a while. The fluctuations were
rampant during the dual exchange rate regime
between March 1992 to March 1993. With the
unification of the exchange rate from March
1993, the exchange rate became market
determined and it settled down around near
constant parity level of Rs. 31.37, for prolonged phase of period up to July
1995 .
b) There was upward pressure on the exchange rate supported by surges of
capital inflow during 1993-95 and the first half
of 1995-96, coupled with robust export growth.
India adopted the current account convertibility
in August 1994 while accepting Article VIII of
IMF agreement. During August 1995 to June
1996 the rupee displayed high volatility. The
monetary and other measures like RBI intervention succeeded in restoring
orderly conditions and the rupee traded in the range of Rs 34-35 per US Dollar
over the period March to June 1996. Between July 1996 and August 1997, the
rupee remained very stable (at around Rs 35 to the dollar).
Chart 6.1.2bRupees per Dollar
31
33
35
37
39
41
9/1/
1995
1/1/
1996
5/1/
1996
9/1/
1996
1/1/
1997
5/1/
1997
9/1/
1997
120
c) August 1997 to June 1998 (the Asian Currency Crisis period) the
rupee was subjected to renewed volatility and the
rupee depreciated from Rs 35.7 to 42.5 against
the US Dollar.
Chart 6.1.2cRupee per Dollar
37
39
41
43
45
47
49
5/1/
1998
5/1/
1999
5/1/
2000
5/1/
2001
5/1/
2002
d) The trend continued although with
some resilience and by the end of December
2000 the exchange rate reached Rs 46.75 to a US
dollar and by May 2002 it became the weakest
ever in the history of Rupee at Rs. 49.06 to a
US Dollar.
e) In May 2004 RBI introduced the Market Stabilization Scheme to
absorb excess liquidity and inject liquidity whenever needed. Since that time
there have been signs of recovery and the daily volatility remained range bound.
6.1.3 Exchange Rate Volatility. In the graph below the volatility of the rupee
is plotted in terms of the daily rate of change(%) in the Rupee - Dollar parity
121
Chart 6.1.3VOLATILITY OF EXCHANGE RATE 1991-2006
-0.080
-0.060
-0.040
-0.020
0.000
0.020
0.040
0.060
0.080
7/4/
1991
7/4/
1992
7/4/
1993
7/4/
1994
7/4/
1995
7/4/
1996
7/4/
1997
7/4/
1998
7/4/
1999
7/4/
2000
7/4/
2001
7/4/
2002
7/4/
2003
7/4/
2004
7/4/
2005
Source: Drawn based on exchange rate data compiled from RBI publications
Chart 6.1.3 displays several spikes of high volatility in the exchange rate and
intermittent periods of calm. The major spike are in 1992/993, 1995/1996,
1997/1998, 2000 and 2001.
6.1.4 Volatility of SENSEX (1991-2006) . In the following chart the volatility
of SENSEX is portrayed by plotting the rate of change in the daily closing
price .
Chart 6.1.4VOLATILITY OF SENSEX 1991-2006
-0.150
-0.100
-0.050
0.000
0.050
0.100
0.150
0.200
0.250
Source: Drawn based on exchange rate data compiled from BSE publications
122
6.1.5 Relative volatility compared. The following chart shows the daily Rate
of change in exchange rates as embedded in the rate of change in SENSEX.
Chart 6.1.5RELATIVE DAILY VOLATILITY
Exchange Rate Vs SENSEX(1991-2006)
-0.1500-0.1000-0.05000.00000.05000.10000.15000.20000.2500
SENSEX EXR
Source : Data Analysis (Base data from BSE and RBI publications)
With reference to chart 6.1.5 above , the rate of change in SENSEX
appeared to be much greater when compared to that of the exchange rate. The
bouts of volatility depicted at certain junctures and the comparative patterns
displayed by the two variables imply that the exchange rate shocks may have
some impact on the price of shares.
123
6.1.6 The Time Cycle – The Structural Breaks – The Three Phases
Three broad phases are identified for the purpose of analysis This is in
accordance with the typical behaviour of the Indian rupee vis-à-vis the US Dollar
during the period and the nature of the foreign exchange rate management regime
prevalent in the country during the past fifteen years after the liberalization process
was ushered in.
i. Phase 1 : period covering July 1991 to July1995.
ii. Phase 2 : period covering August 1995 to Dec2000.
iii. Phase 3 : period covering Jan 2001 to June 2006.
The Exchange Rate expressed in terms of Dollar per Rupee in the three phases is
depicted in the following charts.-
Source: Data analysis.(Dollar per rupee value derived based on daily exchange rate data from RBI publications and website)
124
Phase 1. After the balance of payment crisis of 1991 a two-step downward
adjustment in the exchange rate was undertaken in July 1991 which was then
followed by a transitional period of dual exchange rates for eleven months, before a
market-determined exchange rate system was put in place in March, 1993. The
Rupee remained least volatile during this short period. From a ‘controlled regime’
the market was brought under ‘managed float.’ Since then, exchange rate is largely
determined by demand and supply conditions in the market. During 1994-95 there
was upward pressure on the rupee because of foreign portfolio capital inflow that
was allowed to enter India. The market was not freely allowed to determine the
exchange rate of the rupee. The RBI intervened to maintain the nominal value of
the rupee at a constant level of Rs 31.4/ 1US $ for a period of sixteen months
from March 1993 to July 1995. This was due to the conflict between the objectives
of export promotion and the free movement of the rupee.
Phase 2 From August 1995 to May 96 the rupee was subjected to
rampant fluctuations, and it varied between 34.25 to 37.94 to a Dollar after
which it regained strength and remained stable at around Rs 35 to a dollar until
about August 1997. The bouts of currency turmoil and contagious financial
crises in the East Asian countries had some effect, although limited, on the
Rupee-dollar parity and the rupee was subjected to renewed volatility and
depreciation between August 1997 to June 1998. Thus Rupee was at its
maximum volatility during the (Phase2) period.
125
Table. 6.1.7
Summary statistics on Exchange Rate : Dollar per Rupee
Phase 1 Phase 2 Phase 3
Jly1991-
Jly1995
Aug1995-
Dec2000
Jan 2001-
Jun2006
Mean 0.0332 0.0255 0.0217
Range 0.0135 0.0105 0.0027
Standard Deviation 0.0025 0.0027 0.0008
10.51% Coefft. Of Variation 7.56% 3.65%
Source : Data Analysis: Descriptive Statistics based on data from RBI and BSE publications : Details in soft copy in the CD- ROM
Phase 3: According to RBI the exchange rate policy in recent years (Phase 3)
has been guided by the broad principles of careful monitoring and management
of exchange rates with flexibility, without a fixed target or a pre-announced
target or a band, while allowing the underlying demand and supply conditions to
determine the exchange rate movements over the period in an orderly way.
The determinants of exchange rate, however, seemed to have altered
dramatically over the period. Earlier, factors related to changes in merchandise
trade flows and the behaviour of commodity price inflation were well
understood. This provided guidance for operating monetary policy principally
targeting low inflation which was consistent with exchange rate changes under
purchasing power parity. These traditional anchors appear to have been swept
126
away by the vicissitudes of capital movements, with currencies often moving far
out of alignment of the traditional fundamentals. Moreover, it appears that
expectations and even momentary reactions to the day’s news are often more
important in determining fluctuations in capital flows and hence it serves to
amplify exchange rates volatility. There appears to be an interplay of both the
goods market approach and the portfolio balancing theory. The globalisation of
financial markets, even though imperfect, has now magnified the impact of
capital flows on the determination of exchange rate with a spillover effect to or
from the equity market. Low interest rates in the US have encouraged capital to
flow into emerging market economies. This has resulted in a large build-up of
foreign exchange reserves and abundant domestic liquidity.
6. 2 The Indian Equity Market and Share prices.
The Indian equity market went through several phases in its transition
during the economic transformation of the country. It went through several
cycles of ups and downs and sectoral shifts and is emerging as a globally
integrated and relevant market. The SENSEX ( the thirty scrip- benchmark
index of BSE)has grown ten fold from 1200 range in 1991 to over 12000+ in
May 2006 and seems to trend upward in the future.
127
SENSEX (1991-2006)Chart 6.2.1
0
2000
4000
6000
8000
10000
12000
14000
Source data from published information of Mumbai Stock Exchange.
6.2.1. Making Sense out of SENSEX - an episodic analysis of the three
phases
The movement of the SENSEX during the period has been almost a
roller coaster ride. While supported by the baseline of economic fundamentals it
was also driven by sentiments of local investors and more often led by FII
actions . Neither the flow oriented theory nor the portfolio balance model seem
to have its exclusive dominance on the behaviour of SENSEX. It has recorded
new levels of valuations since 2002 and as it scaled new heights, it seemed to be
on a different growth trajectory compared to that of the 1990s.
128
CHART 6.2.2 a SENSEX PHASE 1
1000
1500
2000
2500
3000
3500
4000
4500
5000
Phase 1 . Hand in hand with the economic reforms, the equity market also
underwent a lot of reformation. From a stage of no position in anywhere on the
global investment map, the amateur race of economic recovery in the first phase
did attract the attention of the foreign investors . In the early half of the 1990s,
foreign investment in India, like in other
emerging economies, was considered a ‘frontier
asset class’ by the large global investors who
stepped into once in a while to add some extra
marginal increase in their overall returns. The
1992 securities market scam in India further
highlighted the extreme dangers and acted as a
deterrent. In the years 1994 and 1995, India got its first taste of significant
foreign capital flows with GDRs and IPOs mopping up over US $ 4bn from
foreign investors. This was far surpassing the government’s expectations that FII
inflows in any given year would be in the region of a few hundred million
dollars. The market was set on positive sentiments which aroused interest from
domestic institutional and retail investors. All the regional stock exchanges
became very active and trading volume substantially increased.
129
CHART 6.2.2.bSENSEX PHASE 2
1000
2000
3000
4000
5000
6000
7000
The Second Phase was the crisis phase mooted by the Asian currency crisis
and the shock waves had their tsunamic effect on both the currency and the
stock markets. The investment mood was completely shattered by July 1997
with the onset of what is known as the Asian meltdown. India, with significant
capital controls, was hurt to a small extent by the
global turmoil but, did join the meltdown brigade
although at a lesser pace. Under this scenario
even the relatively better fundamentals of the
individual companies also could not enthuse the
market. The recessionary trends in the global
economy set an apathetic mood in the market.
Foreign investors, looking for reasons not to invest in India, found plenty.
Seeing both the stock market indices and the rupee tumbling down one was
tempted to believe the strong association these two economic variables may
have. And many a research reports were produced on this.
The nuclear test in Pokhran in 1998 and the Kargil conflict in 1999
coupled with a payment crisis on the BSE in 1998, continued to rock the equity
markets and shattered the confidence of domestic investors in equity markets.
This prompted them to think that government bonds and bank accounts were
better places to park their money.
130
There were major shifts in the sector-wise make up of the Indian equity market
in terms of Turnover and Market capitalization.(Refer table 6.2 below)
Table 6.2
Sector wise (%) representation of top 50 companies in Turnover and
Market Capitalisation at NSE
Turnover Market Capitalisation
1995 -
1996
2000 -
2001
2005 –
2006
1995-
1996
2000-
2001
2005-
2006
Manufacturing 79.3 % 9.85% 43.01% 62.05% 20.79% 29.30%
Financial Services 17.25 % 1.39% 18.15% 11.41% 7.84% 10..07%
FMCG 1.12 % 2.56% 4.57% 10.07% 17.30% 7.18%
IT 0.00 % 75.56% 21.49% 0.00% 22.80% 23.97%
Pharmaceuticals 0.25 % 1.66% 2.43% 1.85% 4.52% 4.05%
Others 2.09 % 8.98% 10.35% 14.62% 26.76% 25.43%
Total 100.00 100 100 100 100 100
Source :NSE Fact book 2005 & 2006
By March 2000, with the dot.com bubble burst, India, and the equity
market were also circumvent with the negative effects of an adverse global
environment. This coupled with more scams of its own giving, foreign and
domestic investors gave more reason to stay away from the Indian stock market.
In the global meltdown, India was unable to differentiate itself from the scandals
131
surrounding Enron, World Com. etc.
The period 1996- 2000 marked as Phase two in this study, was thus a shaky
period for the Indian Equity Market. Moreover, the formation of the Euro Zone
redirected global investors to potential areas within that zone rather than the post
crisis Asian countries.
CHART 6.2.2c SENSEX PHASE 3
1000
3000
5000
7000
9000
11000
13000
Phase 3 (2001-2006), is a period which has seen the upswing and the downslide
of both Foreign Exchange and Equity markets. After a long lull during 2001-
2002 there was broad based rally in share prices in 2003.The market exhibited
renewed confidence in the fundamentals of the
country .In the equity market there was
significant support by FIIs and domestic mutual
funds. SENSEX marched towards dizzying
heights recording substantial investment by
institutional investors (Rs10.4 billion by FIIs and
Rs42.04 bn. new fund offers by mutual funds in 2005) and it appeared that the
momentum has been set. The faster pace in the modernization of the market in
its conduct and structure viz. dematerialization, on-line trading, diminishing
transaction costs, rolling settlement from transaction(T) day plus 5 days(T +5)
in 2000 to T+2 days in 2005 etc and the proactive role of SEBI the market
regulator etc., the Indian market is set on a consistently increasing scale and
pace of activity. Market Maturity measured by the MCap Ratio3 is more than
3 Market Capitalisation ratio
132
1:1 with Market Capitalisation4 surpassing the GDP(May 2006) is pushing the
Indian capital market ahead to be on the big league of the global best .
On the foreign currency market, the rupee strengthened on account of
both exogenous and indigenous reasons . A combined chart of the power of the
rupee measured in terms of the Dollar per rupee and power of the equity market
measured by the daily SENSEX is depicted below.
Chart 6.2.3SENSEX Vs US Dollar per Rupee
2001-2006
0
2000
4000
6000
8000
10000
12000
14000
SENS
EX
0.019
0.0195
0.02
0.0205
0.021
0.0215
0.022
0.0225
0.023
0.0235
US D
olla
r per
Rup
eeSENSEX Ex Rate Linear (SENSEX) Linear (Ex Rate)
Source: Data analysis - Chart drawn based on daily data on SENSEX(BSE) and Exchange rate
(RBI)converted into Dollar per Rupee.
The graph 6.2.3 indicates some similarity in the behaviour of the two
variables during the period (2001- 2006) as they trend toward the same
direction. The apparent co- movement and the cyclical pattern tend to support
the view that “stock price index and exchange rate levels show a common cycle
which are fundamentally short run in nature”5
4 (Source: NSE Fact book 2005 & 2006) .
5 Morely and Pentecosr(2000) 133
Both variables are trending upwards suggesting that a strong rupee is
supported by a vibrant stock market or is it vice-versa. Does it suggest any
causal relationship? Are the two markets integrating?
So the puzzle remains as to whether the goods market approach or the
stock oriented approach is more relevant in case of India . Or is it the
monetarists’ approach which is prevalent?
6.3. Special effects from a focused perspective
6.3.1 BSE indices Vs DOLLEX . More broad based indices like the BSE
200, BSE 100 were taken and compared against their corresponding Dollar
series. Charts (6.3.1 a for Dollex 200 Vs BSE 200 and 6.3.1.b Dollex 100 Vs
BSE 100 were prepared for phase 3.
Source: Data Analysis -drawn based on the published information of BSE and www.bseindia.com
By structure and definition the Dollex is constructed from the rupee
based index multiplied by a price relative of the Dollar – Rupee Exchange rate
DOLLEX 200
134
Any disproportionality in the gap between the BSE index and its corresponding
Dollex series can only be attributed to the effect of exchange rate fluctuations as
by construction each pair has the same set of underlying shares.
A cursory glance at the above charts would suggest that the same
parities were not maintained all through and some impact of exchange rate
fluctuation is prevailing.
The daily rate of change in the pairs of data was taken and plotted as
in charts 6.3.2.a and 6.3.2 b. A magnified version of the graph revealed traces of
difference in daily rate of change for the data sets.
Source: DATA ANALYSIS : drawn based on daily rate of change derived from source data from BSE Publications
135
The data sets were further subjected to t test, to check if such variations were
statistically significant. The test results are presented in table 6.3.1 below.
Source : Data Analysis : detailed test result in the soft copy on CD ROM
The above test statistics reveal that the traces of differences in the
rate of change in the BSE series and DOLLEX SERIES are statistically not
significant. This leads to the conclusion that exchange rates fluctuations have No
significant effect on the Share prices, measured by gross indices like SENSEX,
BSE indices ,and Dollex series. However the Degree of correlation and hence
the coefficient of determination varied between the different pairs.
TABLE 6.3.1
t Test results for mean daily rate of change for like pairs of indices
MEAN Rate
of change t statistic Probability
Critical
value @5 %
SENSEX 30 0.00079
DOLLEX 30 0.00080 0.19225 0.84757
BSE 100 0.00079
DOLLEX 100 0.00081 0.04304 0.96567
BSE 200 0.00087
DOLLEX 200 0.00085 0.03080 0.75810
1.962
136
TABLE 6.3.2
Correlation : Dollex Vs BSE series
(Based on the Rate of change in daily prices)
Pearson's Coefft
of Correlation
Coefft. Of
determination
SENSEX 30 Vs DOLLEX 30
Between Rate of change in prices
Between Prices
0.9717
(0.9987)
94.4%
(99.7%)
BSE 100 Vs DOLLEX100
Between Rate of change in prices
Between Prices
0.43370
(0.9974)
18.8%
(99.47%)
BSE 200 Vs DOLLEX 200
Between Rate of change in prices 0.9894 97.9%
(0.9990) Between Prices
Source : Data Analysis : Detailed test results in the soft copy on CD ROM
(99.7%)
The above findings are intriguing and call for a thorough search. The
next section 6.4 of the Data analysis concentrates on the search for further
empirical evidence using more sophisticated tools of time series analysis.
137
6.4 Time Series Analysis
6.4.1 Data Sets : As mentioned earlier, daily exchange rate expressed in terms
of Indian rupee per U.S Dollar and the stock prices represented by daily closing
prices were the key variables used in the study and were subject to different level
of analysis. Three levels were identified .viz. i) at the first level with an overall
market index represented by SENSEX (the thirty scrip benchmark BSE index) ii)
the sectoral indices (representing subgroups of different industry sectors) at the
second level and (iii) the share prices of individual companies as the micro level.
Pairs of data sets for the different periods were chosen as below and subjected to
further analysis using time series models.
Table 6.4.1
Period Data Set
A 1991 -2006 Exchange rate (Rupee per Dollar ) EXR 9106
Vs SENSEX
B 2000 – 2006 Exchange rate (Rupee per Dollar ) EXR 20-06
Vs Selected company share prices
Import companies , export companies
C 2001 – 2006 Exchange rate (Rupee per Dollar ) EXR 2106
Vs Sectoral indices- BSE MID CAP& Small cap
and13 industry sectors Dollex series
BSE 100, BSE 200,BSE 500
D Special Time Zones Exchange Rate and the SENSEX
138
Going by the literature available it was felt that the impact of the
exchange rate on share prices could better be studied by investigating the response
of share prices to a shock or change in the exchange rate in terms of either
temporary and/or a permanent shift in the equilibrium level. Theory postulates
that if the response of a variable to a shock in the other has an infinite memory, a
long run relationship is said to exist between the variables. On the other hand when
the response of one variable to a shock in the other variable is temporary or
reversible in nature a short term relationship is said to exist between them.
Recent developments in econometrics have offered sophisticated testing
tools, such as Johansen’s Co-integration test and Granger Causality tests on the
time series which can testify the presence and impact, if any, of such relationship
between Exchange Rates and Share prices. The theoretical background for the
same is described in chapter 5 on Research methodology of this thesis. As
described in that chapter, as a first step all the data series were Log transformed and
checked for stationarity. The ADF and /or Phillip - Peron Unit Root Test were
applied to find out the stationary nature of the series and the further steps for
co-integration test and causality applied in the sequence depicted in the Flow Chart
(Chart 6.4.3). The tests were repeated for data sets for each sub period at varying
scope and scale as indicated in table 6.4.1. Software EViews.5 was used at various
stages to carry out the tests.
6.4.2 The process in each case and the Hypotheses tested are summarized as
follows.
139
Table 6.4 .2
ADF unit root test
Ho : δ = 0 or ρ = 1 and H1: | ρ │ < 1 Δ Yt = α + βt + δYt-1 + ut ; δ = (ρ - 1 ) and β ≠ 0
mt t-1 i t-i t
i=1 Y = + t + + Y +Y uα β δ θΔ Δ∑
Johansen’s Co-integration test
Ho : ut is stationary : ut = Yt - α Xt.
where Xt and Yt are non stationary and are I(1) processes
Granger Causality test
Ho : Xt does not Granger Cause Yt : αj = 0 for all j
Yt = 1
1 1
n n
j t j j t j t
j j
X Y uα β− −
= =
+ +∑ ∑
H0 : Yt does not Granger Cause Xt : λj = 0 for all j
Xt = 2
1 1
n n
j t j j t j t
j j
Y Xλ δ− −
= =
u+ +∑ ∑
Where Xt and Yt represent the exchange rate and share price or
index respectively.
The underlying series are assumed to be trend stationary
140
6.4.3 The Test Process: Time Series Analysis Flowchart
Step 1 : Check for Stationarity. Daily Exchange
Rate series Share price Daily Closing series
Convert the series into Log series
Convert the series into Log series
Y
N
Check the series for stationarityADF test /PP test
ρ =1
NO UNIT ROOT Ex Rate series stationary @ 1st Difference
Step 2
NO UNIT ROOT Share Price series stationary @ 1st Difference
Check the series for stationarityADF test /PP test
ρ =1AR(P) PROCESS Take difference I(d) d=1,2,3…
AR(P) PROCESS Take difference I(d) d=1,2,3…
141
Time series analysis flow chart 6.4.3 continued
Step 2
Test for co-integration Johansen’s test @levels
142
GRANGER CAUSALITY TEST @ log levels Short run dynamics
Estimate Error Correction Model(ECM)
Results and interpretation
GRANGER CAUSALITY TEST on differences Short run dynamics
Co- integrated
6. 4 .4 PERIOD 1991 to 2006 Exchange Rate(EXR) Vs SENSEX
6.4.4.1 Unit Root Test to check on the stationarity of the series. Both series
for the period were log transformed and subjected to ADF test and Phillips-Peron
Test. The test results are summarised and presented in table 6.4.4.1 below.
Table 6.4.4.1 Unit Root Test results at levels, Series with constant and trend
Period 1991- 2006
Variable No of Observations
ADF test statistic
PP test statistic
Critical Value @ 5%
LEVEL
EXR SENSEX
3914
3914
-1.687256 -2.34936
-2.620464
-2.59759
-3.41
Source: Data Analysis :Test results appendix 6.4.1.A
6.4.4.2 Since calculated value of the test statistic t is less than its critical value
(3.41), the null hypothesis is accepted , which means for both the series EXR and
SENSEX , unit root exists and they are non- stationary at their levels.
At this stage their first differences were taken and subjected to unit root
tests and the results are given in table 6.4.4.2.
143
Table 6.4.4.2 Unit Root Test results at first difference, for series with Constant and
trend Period 1991- 2006
Variable
No of Observations
ADF test statistic
PP test statistic
Critical Value @ 5%
First Difference
EXR SENSEX
3913
3913
-10.7722
-3.41 -74.34707 -60.3252 -11.70003
Source: test results appendix 6.4.1.A
At their first difference the calculated |t| > the critical value 3.41 and
hence, the null hypothesis rejected at 5% significance level i.e., unit root does not
exist.
Accordingly, time series for Exchange Rate (EXR) and SENSEX are
stationary at their first difference and are found to be integrated of order one I (1).
6.4.4.3. Co-integration Test on EXR and SENSEX for the period 1991 to
2006.
As the next step Johansen’s Co-integration test6 was applied on the
series to examine the long run equilibrium relationship, if any, between stock prices
and exchange rates, and the test results are as given in table 6.4.4.3
6 Johansen(1995)
144
Table 6.4.4.3 . Johansen’s Co-integration Test Result (Co-integration of Exchange Rate and SENSEX for the period 1991to 2006)
Series: LN_SENSEX9106 LN_EXR9106
Sample (adjusted): 7/01/1991 6/30/2006
Trend assumption: Linear deterministic trend (restricted)
Included observations: 3897 after adjustments: Lags interval (in first differences):1to23
Unrestricted Co-integration Rank Test (Trace)
Hypothesized No. of CE(s) Eigen value
Trace
Statistic (λtrace)
Critical Value
@ 5%
Prob.**
None * 0.005536 26.83722 25.87211 0.0379
At most 1 0.001345 5.235892 12.51798 0.5629
Trace test indicates 1 co-integrating equation at the 0.05 level
* denotes rejection of the hypothesis at the 0.05 level
**MacKinnon-Haug-Michelis (1999) p-values
Unrestricted Co-integration Rank Test (Maximum Eigen value)
Hypothesized No. of CE(s) Eigenvalue Max-Eigen Statistic (λmax)
Critical Value @ 5% Prob.**
None * 0.005536 21.60133 19.38704 0.0235
At most 1 0.001345 5.235892 12.51798 0.5629
Max-eigen value test indicates 1 co-integrating equation(s) at the 0.05 level
* denotes rejection of the hypothesis at the 0.05 level
** MacKinnon-Haug-Michelis (1999) p-values
145
Johansen’s Co-integration test (continued)
Unrestricted Co-integrating Coefficients (normalized by b'*S11*b=I):
LN_SENSEX9106 LN_EXR9106 TREND(7/2/91)
-4.100521 -13.5363 0.002985
-1.504022 5.503478 0.000183
Unrestricted Adjustment Coefficients (alpha):
D(LN_SENSEX9106) 0.001276 5.26E-05
D(LN_EXR9106) 1.84E-05 -0.00013
1 Co-integrating Equation(s): Log likelihood 26704.25
Normalized co-integrating coefficients (standard error in parentheses)
LN_SENSEX9106 LN_EXR9106 TREND(7/2/91)
1.0000 3.301125 -0.000728
Std error (0.70934) (0.00012)
Adjustment
coefficients Std .Error
Test
statistic
Critical
value @5%
D(LN_SENSEX9106) - 0.0052347 (0.00114)
146
4.59123
> 1.96
Significant
-7.54E-05 (0.0002) 0.31417 D(LN_EXR9106)
Source : Data Analysis : EViews 5 Test results obtained on data series on daily exchange rate and
SENSEX (data in soft copy on CD ROM)
According to the results of the Johansen’s Co-integration test as
presented in Table 6.4.4.c above, Maximal eigen statistic (λmax) of 21. 60133 is
greater than the 5 % critical value of 19.38704 and the trace test statistic (λtrace) of
26.83722 is greater than the critical value of 25.87211. The null hypothesis of no
co integration (ie. r = 0) is rejected. The test statistic λtrace (1) = 5.235892 is less
than the 5% critical value of 12.51798 and we cannot reject traces at most one
co-integrating equation at the 0.05 level. This means there exists a single (ie. r = 1)
co- integrating relationship between the variables.
7 negative coefficient indicates the adjustment of stock price to Exchange rate equilibrium in a day
From the foregoing analysis based on high frequency data of daily
rates of exchange rate and SENSEX over the period 1991 to 2006, it could be
concluded that the two variables - Exchange Rate and SENSEX- are co-integrated
This in turn suggests long - run equilibrium relationship between the two variables.
The adjusting coefficients indicate that SENSEX adjusts to the disequilibrium
created by the exchange rate fluctuations – the speed of adjustment is indicated by
the adjustment coefficient.
6.4.4.4 The dynamics of the short run relationship between the variables was
studied by testing the causality between them. Granger Causality test was used for
the same. Causality is lag- dependent. It may be bi- directional, uni-directional and
at some lags causality may be absent. As it is important to use the optimal lag to
derive meaningful results, software support was taken. Using Eviews.5 software8,
the Final Prediction Error (FPE) criterion and Akaike’s Information Criterion
(AIC) were applied to find out the appropriate lag length. For the series – EXR
and SENSEX- under consideration the optimal lag was found to be 24 (Appendix
6.4.1 A) for which Granger Causality test gave the following results.
147
8 Eviews .5 a software for econometric analysis facilitates identification of the optimal lag using various criterion Final
Prediction Error(FPE) and Akaike’s Information Criterion (AIC): Schwarz information Criterion (SIC): Hannan-Quinn (HQ) information criterion etc. under the unrestricted VAR option for the lag structure and the lag length.
Table 6.4.4 .4 : Pair-wise Granger Causality Tests(1991-2006) Sample: 7/01/1991 to 6/30/2006 Lags: 24 No .of Observations 3897 Null Hypothesis: F-Statistic Probability LN_EXR9106 does not Granger Cause LN_SENSEX9106 2.59075 3.50E-05*** LN_SENSEX9106 does not Granger Cause LN_EXR9106 2.34028 0.00024*** *** denotes significance at 1% level Source : Data Analysis : EViews 5 Test results obtained (soft copy in CD ROM)
The F- values and the p- values in the test results above (table 6.4.4.d) suggest that
the null hypotheses of No Causality are significant at 1% and therefore can be
rejected. There is evidence of Bi- directional causality from Exchange rate to Stock
Price and from Stock price to Exchange Rate which means in the short run there is
interchangeable lead- lag relationship between the two variables.
6.4.4.5 Having established the existence of co-integration, an Error Correction
Model was developed for the co-integrating series and for brevity the details of the
vector error correction estimates are transferred to appendix(6.4.1.C).
6.4.4.6 Based on the empirical results obtained in the foregoing test results of the
high frequency daily data on exchange rate and SENSEX, for the fifteen year
period July 1991to June 2006, the nature of the inter-relationship between them
can be concluded as follows . The non stationary property of both data sets at
their levels and the presence of unit root in them are indicative of an evolutionary
component in both EXR and SENSEX. The Exchange rate and Share prices do
follow a dynamic empirical relationship in the short term. As they are co-integrated
148
they may share a common trend suggesting a long run equilibrium relationship.
Thus the existence of long term equilibrium relationship within a fully dynamic
framework suggests that a change in Exchange rate can bring about permanent
shift in the equilibrium level of SENSEX.
6.4. 5 The Interaction Of (EXR And SENSEX) In Various Time
Buckets .
Phase 1 (July1991 - July 1995),
Phase 2(August1995 - December2000) and
Phase 3 (January 2001 – June 2006)
Time series analysis was carried out for the datasets in the various time
buckets identified in line with the structural breaks in the earlier part (6.1.5)of this
chapter, to find out the variation if any , in the interrelationship between exchange
rate and share prices during three different phases. Similar to the test carried out for
the fifteen years period (1991 to 2006), ADF test for unit root, Johansen’s Co -
integration test and Granger causality test were carried out. In each case, the
optimal lag was separately found out using AIC and FPE criteria.
Having illustrated the full process of testing, in the foregoing sections 6.4.4.
1 to 4 , for the data set EXR Vs SENSEX 1991- 2006, only relevant extracts of
the test results are incorporated in the chapter, for the rest of the data sets
The detailed results are incorporated in soft copy on the CD- ROM
attached.
6.4.5.1. PHASE 1: Time Bucket : July 1991 to July 1995
149
Phase 1 was the initial trial period for both markets emerging out from a state of
internal crisis and liberalizing and getting exposed to exogenous shocks.
6.4.5.1.1 Test for Stationarity : Augmented Dickey Fuller Test
Table 6.4.5.1.1 July1991 - July1995 EXR AND SENSEX
Unit Root Test results, Constant with trend.
( Level and First difference)
Variable
Number of
observations
ADF test
statistic
Probability Critical value
@ 5 %
EXR -1.9929 .6040 Level
SENSEX
1048
150
-2.3345 .4142
EXR -7.347 .0000
-3.41 First
Difference
1047
SENSEX -6.1668 .0000
From the results of the ADF test given in table 6.4.5.1.1, it can be seen
that at levels the absolute values of the test statistic obtained for both EXR and
SENSEX are less than the critical value @5% and the corresponding p values are
greater than 0.05 and hence the null hypothesis that the series have unit root is
accepted . Therefore both the series are Not stationary. The ADF test was carried
out on the first differences for the two series . The absolute t- values are greater
than the critical values and corresponding p values are less than .05 and are
statistically significant. Therefore the null hypothesis that unit roots are present cannot
be accepted and hence the two series are stationary at their first difference.
6.4.5.1. 2. Summary of the results of the Co-integration tests for the period (July
1991- July 1995) are given in table 6.4.5.1.2 below. Using FPE and AIC criteria, a
lag length of 18 was found to be appropriate for the data set for this period.
Table 6.4.5.1.2 Johansen’s Co-integration
Test9 Lag : 18
July1991- July1995
EXR AND SENSEX
Unrestricted Co-integration Rank Test Max-Eigen value test
Hypothesized No. of CE(s)
Eigen Trace (λtrace)
Critical value @ 5 % Prob.**
Max Eigen Value λmax
Critical value @ 5 % Prob.** value
None 0.01408 19.9207 25.8721 0.2299 14.8647 19.3870 0.2011
At most 1 0.00481 5.0561 12.5180 0.5883 5.0561 12.5180 0.5883
Trace test indicates no co-integration at the 0.05 level
Max-Eigen value test indicates no co integration at the 0.05 level
With reference to the results summarized in Table 6.4.5.3 above,
Maximal eigen statistic (λmax) of 14. 86468 is less than the 5 % critical value of
19.3870 t and the trace test statistic (λtrace) of 19.9207 is less than the critical value
of 25.8721 and the corresponding p - values above .05. Therefore, the null
hypothesis of no co integration (ie. r = 0) cannot be rejected. Hence the time series
of the two variables during the time bucket July 1991 –July 1995, are not co-
integrated. We cannot trace any co- movement or long-run equilibrium for the
period.
6.4.5.1.3 The Granger causality test gave the following results . In the absence of
co-integration the causality had to be tested using the first difference.
9 Only relevant portions of the test results are included.
151
Table 6.4.5.1.3 Pair wise Granger Causality Tests No of Observations 1066 Lag 18 Sample JULY 1991- JULY1995
F-Statistic
152
The F-values and their corresponding p- values suggest that the null
hypotheses of No causality from EXR to SENSEX and from SENSEX to EXR
cannot be accepted as they are significant(***) at 1% . This indicates two way
causality between the variables, implying inter-changeable lead- lag relationship
between EXR and SENSEX.
The co-integration test indicated there was no long run impact of
exchange rate on SENSEX during the period. The causality at the first difference
was tested and the results indicated two way causality at a lag of 18 days.
Barring the two major devaluations at the beginning of the period and
the aberrations between 1992 -1993, the rupee remained more or less stable for
most of the time. The foreign exchange market was brought under managed float
and the movement of the exchange rate was calibrated. On the other hand the
securities market encountered severe scams (1992), underwent major structural and
operational transformations like establishment of SEBI, institution of on line
trading, technology enabled National Stock exchange etc. through which the
market was just evolving into a new phase of enhanced participation from
Probability At level
LN_EXR9195 does not Granger Cause LN_SENSEX919195 4.38144 3.40E-09***
LN_SENSEX9195 does not Granger Cause LN_EXR9195 3.41036 2.00E-06***
At first difference D(LN_SENSEX9195) does not Granger Cause D(LN_EXR9195) 4.57056 9.E-10***
D(LN_EXR9195) does not Granger Cause D(LN_SENSEX9195) 3.13622 1.10E-.05***
Source : Data analysis Granger Causality test results from obtained using Eviews. 5
test results (CD ROM)
institutional investors, both foreign and domestic. Possibly all these happenings in
both markets might have formed the basis of the short term dynamics of the two
variables which is depicted in the bi-directional causality test results. The markets
were still evolving into reasonable size and shape with impending reforms in terms
of structure, regulatory framework and operational modalities, that it was too early
to be settled down to an equilibrium position.
6.4.5.2. PHASE 2: Time Bucket : August1995 - December 2000 Phase two was the most volatile phase of the study period for both markets. The
IT sector boom which boosted the markets by arousing the interest of foreign and
institutional investors were offset by the Asian currency crisis. The spillover effect
of the crisis, the political disturbances and reforms accelerating the transformation
into a liberalized market, made this a trying time for the emergent Indian financial
markets.
As a first step for analysis, the lag length was identified using FPE and
AIC criteria. A lag length of 2 was found to be appropriate for the data set for this
period.
6.4.5.2.1 Test for Stationarity : Augmented Dickey Fuller Test
153
Table 6.4.5.2.1 summarizes the results of the ADF unit root test.
Table 6.4.5 .2.1 August 1995 - December 2000
EXR AND SENSEX
Unit Root Test results, Constant with trend.
Period 1995- 2000
Variable
No of Observations
ADF test statistic
Probability Critical Value @ 5%
EXR -2.57426 0.2923 Level
SENSEX
1305
-2.50203 0.3271
EXR
154
For both the variables the absolute values of the ADF test statistic
(2.257426 and 2.50203) are below the critical value of 3.41 and, therefore, we
cannot reject the null hypothesis that there is unit root. Hence both the series are
non-stationary. At their first difference ADF test statistics are greater than the
critical values and hence the null hypotheses are rejected at 5% significant level.
Therefore, the two series do not have unit roots at their first difference and hence
they are stationary at their first difference.
These findings on the non- stationarity property of the series are similar to that of
its master series and of the series for the previous phase (July1991-July 1995).
6.4.5.2.2 The Johansen’s Co- integration test was carried out to check for any
long term co- movement of the two series during the period and the results are
summarized below.
-22.4533 .0000 First
Difference
1304 SENSEX -21.2249 .0000
-3.41
Table 6.4.5.1.2 Johansen’s Co-integration
Test Lag : 18
August 1995 – December 2000
EXR AND SENSEX
Unrestricted Co-
integration Rank Test Max-Eigen value test
Hypothesized No. of CE(s)
Eigen Trace (λtrace)
Critical value @ 5 % Prob.**
Max Eigen Value λmax
Critical value @ 5 % Prob.** value
None 0.00951 18.3386 25.8721 0.3216 13.5070 19.3870 0.2889
At most 1 0.00341 4.83152 12.5180 0.6207 4.83152 12.5180 0.6207
Trace test indicates no co-integration at the 0.05 level
Max-Eigen value test indicates no co integration at the 0.05 level
Comparing the values in the above table 6.4.5.2.2, the Maximal eigen statistic
(λmax) of 13. 5070 and the trace test statistic (λtrace) of 18.3386 are less than their
critical values at 5% and the corresponding p- values are above .05 which implies No
co-integration between the two variables during the period.
6.4.5.2.3 The causality tests were also conducted to understand the short term
dynamics of the two variables during the period. In the absence of any co-
integration between the two the causality at the first difference was carried out. The
results are summarized below.
155
Table 6.4.5.2.3 Pair-wise Granger Causality Tests
Observations 1414 Sample August 1995- December2000 ( EXR and SENSEX)
Null Hypothesis: F-Statistic ProbabilityLag 2 at level
LN_SENSEX 95- 00 does not Granger Cause LN_ EXR 95- 00 0.99312 0.37068 LN_EXR 95- 00 does not Granger Cause LN_SENSEX 95–00 0.63949 0.52771 At first difference
D(LN_SENSEX 95- 00) does not Granger Cause D(LN_ EXR 95- 00) 1.15405 0.31565 D(LN_EXR 95- 00) does not Granger Cause
156
D(LN_ SENSEX 95–00) 1.42619 0.24057
The F- statistic obtained for both EXR and SENSEX are not
significant as testified by their p values which are above .05, which means there is
no sufficient evidence to reject the null hypothesis of no causality. Therefore the
above test results do not support any short – run relationship between the two
variables.
The findings as above, which implies no statistical evidence of any inter-
relationship between the EXR and SENSEX, did not match with the general belief
which was created during the crisis period when the two variables appeared to
tumble down together creating crisis in both currency and stock market. The fact
that the rupee fell in tandem with the stock market, posed the broader question of
the linkage between them.
The researcher had undertaken a survey among twenty investment and
fund managers of asset management companies based in Kochi and Mumbai.
Majority of them believed that there was a positive correlation between the
weakening of the rupee and the falling stock prices, but a good number of them
felt it was temporary. It was felt that as the period under consideration was not a
normal period and the findings did not match common expectations, it was subject
to further analysis with shorter time breaks at a later stage of the study and
described in section 6.4.9.
6.4.5.3. PHASE 3: Time Bucket : January 2001 - June 2006
Phase 3 covered the most recent period mostly representing a period of
normalcy and growth and after the dusty crisis period. The initial two years 2001
and 2002 were faced with some disturbances like the September 11 terrorist
attack, followed by global recession. Since 2003 normalcy was restored and
economic recovery was registered globally. For Indian financial markets it was a
period of further liberalization and maturing.
The ADF test results are summarized and presented in the following table.
January 2001 – June 2006 ( EXR and SENSEX) Table 6.4.5.3.1 Unit Root Test results Constant with trend
Variable Number of observations
ADF test statistic
Probability Critical value @ 5 %
EXR -1.57955 0.8008 Level SENSEX
1430 -2.323938 0.4201
EXR
157
The ADF test statistic values, obtained in the test result were not
significant for the series at their level, suggesting existence of unit root. But
-13.12125 0.0000
-3.41 First Difference 1429 SENSEX -14.16221 0.0000
6.4.5.3.1 Test for Stationarity: ADF Unit Root Test
at first difference |t| > the critical value 3.41 and hence , the null hypothesis is
rejected at 5% significance level i.e., unit root does not exist. However the ‘t’
values at their first difference are greater than the critical value at 5% and we reject
the null hypothesis that they have unit roots. Therefore, time series for Exchange
Rate (EXR) and SENSEX are stationary at their first difference and are integrated
of order one I (1).
6.4.5.3.2 The two series were subject to Johansen’s co integration test to find
out if there is any co movement of the two series leading to long term equilibrium
the results are summarized as follows.
The Maximal Eigen value (λmax)= 9.422437and the Trace Statistic
(λtrace) = 13.2128 obtained in the tests were less than their corresponding critical
values at 5% and hence the null hypothesis of No co integrating equations cannot be
rejected . This implies there is no evidence of long – term equilibrium and they do
not share any common trend. A lag length of 6 was found appropriate by FPE and
AIC criteria and it was used for the various tests for the data in phase 3.
Table 6.4.5.3.2 Johansen’s Co-integration Test EXR and SENSEX 2001 - 2006 Unrestricted Co-integration Rank Test Max-Eigen value test
Hypothesized No. of CE(s)
Eigen value
Trace (λmax)
Critical Value@ 5% Prob.**
Max Eigen Value (λmax)
Critical Value @ 5% Prob.**
None 0.006545 13.2128 25.8721 0.7215 9.422437 19.38704 0.6804
At most 1 0.002638 3.79036 12.5180 0.7722 3.790358 12.51798 0.7722
Result Trace test indicates NO co-integration at the 0.05 level
Max-eigen value test indicates No co integration at the 0.05 level
158
6.4.5.3.3 Granger Causality Test :
In the absence of any co-integration between the two, the causality at the first
difference was carried out. The results for both level and a first difference are
summarized below.
Table 6.4.5.3.3 Granger pair wise causality test Obs 1435 Sample 2001 - 2006 EXR and SENSEX
Null Hypothesis: F-Statistic ProbabilityLag 6 @ level LN _SENSEX2106does not Granger LN_ EXR 2106 4.28014 0.00028***
LN_EXR 2106 does not Granger cause LN _SENSEX 2106 1.5376 0.16218 Lag 6 @ first difference
0.00015***D(LN_SENSEX2106)does not Granger Cause D(LN_ EXR 2106) 4.51284
159
Chart 6.4.5 aRupee to a US Dollar
38
40
42
44
46
48
50
1-Jan-01 16-M ay-02 12-M ay-05 30-Jun-06
D(LN_EXR 2106) does not Granger Cause D(LN _SENSEX 2106) 1.39997 0.21111
The F- values obtained are significant(***) at 1% for the null hypothesis of
no causality of SENSEX on EXR and is testified by the corresponding p- values as
per table 6.4.5.3.3. This implies there is short run relationship. The causality runs
from stock prices to exchange rate.
This phase was a period of rigorous transformation for Indian financial
markets and the markets went through a full
cycle of change. Although partly fostered by
RBI interventions, the rupee was subject to
the market realities and more integrated to
global happenings. There was hardly any
momentum in the equity market in the first half of the period up to 2003, amidst
the global slowdown. The rupee witnessed its worst rate of above Rs.49 to a US
Dollar and completed a full cycle of weakening and strengthening during the
period 2001-2006.
CHART 6.4.5.bSENSEX
3972.002600.123114.05
5358.35
12612.38
10609.25
1-Jan-01 1-Sep-01 23-May-02
12-May-04
10-May-06
30-Jun-06
The equity market also appeared to be aligned to global trends. After the
long lull of global slow down there was all round recovery since 2003 in the market
and the markets moved to a different platform scaling new heights in tandem with
the strong fundamentals of the economy. Many initiatives by the government,
regulators RBI and SEBI helped in taming the markets to a more investor friendly
and matured stage. This aroused the interest and increased the confidence of the
investors, foreign and domestic,
institutional and individualistic. The
market gained momentum discovering
new strengths reflective of strong
fundamentals which attracted increased
inflow of capital recognizing India as a
‘sweet spot for investment’ for both Portfolio Investors and Foreign Direct
investors. The causality running from stock market prices to foreign exchange rate
could be partly explained by the dominance of foreign capital flows than trade
flows.
160
Having identified the significant shift in the parameters of the financial
matrix, a more intensive search was done for reconfirming the nature of their
behaviour using indices of broader coverage viz. BSE 100, BSE 200, BSE 500,
with respect to the changes in exchange rate. All these BSE indices reflect the
growth in market value of constituent stocks over the base period in rupee terms
and are broad-based indices, which can also reflect the movement of stock prices
on a national scale.
Applying the FPE and AIC criteria the optimal lag in each dataset was
determined and was found to be 6. The EXR series considered is the same and
hence stationarity of EXR would be the same (non- stationary at level and
stationary at the first difference) for the various sets of the data. The same test
procedures as in the case of SENSEX 30 were used and the results are summarized
and presented in forthcoming sections from 6.4.6.1 to 6.4.7.3.3. Only relevant
extracts of the test results are incorporated in the printed report, while the
exhaustive details are omitted. The details are however included in the soft copy
along with the relevant data. For brevity sake the analytical comments are
consolidated at the end of the each set of series.
161
6.4. 6. 1 BSE 100
Table 6.4.6.1.1.Unit Root Test results level and First difference Constant with trend
Period 2001 - 2006
Variable
Number of observations
ADF test statistic
Probability Critical value @ 5 %
EXR -1.4986 0.1342 Level
BSE 100
1430 -2.9941
162
Table 6.4.6.1.2 Johansen’s Co-integration Test EXR and BSE100 2001 - 2006
Unrestricted Co-integration Rank test Max-Eigen value test
Hypothesized No. of CE(s)
Eigen Value
(λtrace) Trace
0.05 Critical Value Prob.**
(λmax) Max Eigen value
0.05 Critical Value Prob.**
None 0.00887 15.4515 25.8721 0.5372 12.7243 19.3870 0.3508
At most 1 0.00191 2.72721 12.5180 0.9073 2.72721 12.5180 0.9073
The values obtained for Trace (λtrace) = 15.4515 and (λmax) = 12.7243 were
both less than their corresponding critical values and therefore , indicate No Co-
integration at the 0.05 level. This implies that there was No long–term equilibrium
relationship between EXR and SENSEX during the period (2001-2006).
0.1341
EXR -13.4508 0.0000 -3.41 First
Difference BSE 100
1429 -14.1614 0.0000
Comparing the ADF test statistic obtained as above with the critical
values and the corresponding p values the hypothesis that BSE 100 series
has unit root cannot be rejected at level and can be rejected at their first
difference. Hence the series are stationary at their first difference.
Table 6.4.6.1.3 Pair wise Granger Causality Tests EXR and BSE 100 Obs 1431 Lag 6 Sample 2001 - 2006
Null Hypothesis: F-Statistic Probability At level LN_EXR does not Granger Cause LN_BSE 100 0.42459 0.86296
LN_BSE 100 does not Granger Cause LN_EXR 2.70728 0.01285**
At first difference
D(LN_EXR) does not Granger Cause D(LN_BSE100) 0.26325 0.95395
D(LN_BSE100) does not Granger Cause D(LN_EXR) 2.63058 0.01535**
The F- statistic for the no causality hypothesis for EXR over SENSEX
and the corresponding p values suggest that there is no causality of EXR over BSE
100 meanwhile the null hypothesis for BSE100 causes SENSEX is Significant(**) at
5%. Hence there is uni-directional causality running from Stock prices to EXR.
6.4.6.2 BSE 200
Table 6.4.6.2.1. Unit Root Test results Constant with trend
Period 2001 - 2006
Variable
Number of observations
ADF test statistic
Probability Critical value @ 5 %
EXR -1.498643
163
0.1342 Level BSE 200
1430
-3.11695 0.1026 EXR -14.1541 0.0000
-3.41 First Difference
1429
-13.45082 0.0000 BSE 200
Comparing the ADF test statistic obtained as above with the critical
values and the corresponding p values the hypothesis that BSE 200 series
has unit root cannot be rejected at level and can be rejected at their first
difference. Thus the series were found to be stationary at their first difference.
Table 6.4.6.2.2
Johansen’s Co-integration Test
EXR and BSE 200 2001 - 2006
Unrestricted Cointegration Rank test Max-Eigen value test
Hypothe-sized No. of CE(s)
Eigen value
Trace (λtrace)
Critical Value @5%
Prob**
Max Eigen Value (λmax)
Critical Value @5% Prob.**
None 0.0087 14.6942 25.8721 0.600 12.5199 19.3870 0.3683
At most 1 0.0015 2.17430 12.5180 0.957 2.17430 12.5180 0.9570
The values obtained as per table 6.4.6.2.2, for Trace (λtrace) and (λmax)
are both less than the corresponding critical values and therefore indicate No
Co-integration at the 0.05 level, This implies that there is No long –term
equilibrium relationship between Exchange rate and stock prices represented by
BSE200 for the period(2001 – 2006)
Table 6.4.6.2.3 Pair wise Granger Causality Tests BSE 200 AND EXR
Obs 1431 Lag 6 Sample 2001 - 2006
Null Hypothesis: F-Statistic ProbabilityAt level
0.30889 0.93256 LN_EXR does not Granger Cause LN_BSE200 LN_BSE200 does not Granger Cause LN_EXR 2.47081 0.02213**
At first difference D(LN_EXR) does not Granger Cause D(LN_BSE200) 0.25368 0.95793
Considering the p - values of the F statistics as per table 6.4.6.2.3, the null
hypothesis of No causality of BSE200 on EXR is significant at 5%(**) and hence
cannot be accepted .Therefore BSE200 causes EXR. The F- statistic for EXR and
the corresponding p - values suggest that there is no causality of EXR over stock
D(LN_BSE200) does not Granger Cause D(LN_EXR ) 2.43283 0.02413**
164
Table 6.4.6.3. EXR and BSE 500
Table 6.4.6.3.1 Unit Root Test results Level & First difference , Constant with trend
Period 2001 - 2006
Variable
Number of observations
ADF test statistic
Probability Critical value @ 5 %
EXR -1.498643
0.1342
Level
BSE 500
1430 -2.98273 0.1374 EXR
-13.45082 0.0000 First Difference
165
prices represented by BSE200. BSE 500
1427
-14.0465 0.0000
Comparing the ADF test statistic obtained as above with the critical
values and the corresponding p values the hypothesis that BSE 500 series has
unit root cannot be rejected at level can be rejected at their first difference as it is
significant at 5%. Hence the series are stationary at their first difference
-3.41
Table 6.4.6.3.2 Johansen’s Co-integration Test EXR and BSE500 2001 - 2006
Unrestricted Cointegration Rank test Max-Eigen value test
Hypothesized No. of CE(s)
Eigen value
Trace (λtrace)
Critical Value@
5%
Critical Value@
5% Prob.**
Max Eigen value (λmax) Prob.**
None 0.0085 14.5061 25.8721 0.6157
11.9883 19.3870 0.4163
At most 1 0.0018 2.51776 12.5180 0.9282 2.51776 12.5180 0.9282
The values obtained for (λtrace) = 14.5061 and (λmax) = 11.9883 are both
less than the corresponding critical values and therefore indicate No Co
integration at the 0.05 level, This implies that there is No long – term equilibrium
relationship between EXR and BSE 500 during the period.
Table 6.4.6.3.3. Pair wise Granger Causality Tests BSE 500 AND EXR Obs 1406 Lag 6 Sample 2001 - 2006
Null Hypothesis: F-Statistic Probability At level LN_EXR does not Granger Cause LN_BSE 500 0.37763 0.89356
0.02966**LN_BSE 500 does not Granger Cause LN_EXR 2.34134
At first difference
D(LN_EXR) does not Granger Cause D(LN_BSE500) 0.27475 0.94892
2.25723 0.03579**D(LN_BSE500) does not Granger Cause D(LN_EXR) The F values for the null hypothesis BSE500 does not causes EXR is significant
at 5%( **)and cannot be accepted which implies short term causal effect of
BSE500 on EXR.
The BSE 100, BSE200 and 500 series are all non-stationary at levels and stationary
at the first difference. The Maximal Eigen value (λmax )and the Trace Statistic (λtrace)
are below the corresponding critical values and hence cannot reject the null
hypotheses of no co integrating equations do not bear any long term relationship with
exchange rate for the period . The F values of the causality test and the
corresponding p-values of three series are significant at 5 % suggesting only uni-
directional causality running from Sock Prices to Exchange Rate. Hence the test results
support short term influence of BSE indices representing stock prices on the
exchange rates where as there is no such evidence for exchange rate causing
166
impact on stock prices during the period (2001-2006).
6.4.7 Dollex Series reflect, in one value, the changes in both the stock prices
and the foreign exchange variation by expressing the current and base market
values in dollar terms. The scope for dollar-linked index emerged from the
background of Indian equity markets increasingly getting integrated with global
capital markets. In the context of Indian equities getting listed on foreign stock
exchanges and with the increased participation of FIIs in the Indian equity market
dollar benchmarked indices, which would assess the market movements in terms of
international benchmarks became very relevant. This dollar-linked index is useful to
overseas investors, as it helps them measure their 'real returns' after providing for
exchange rate fluctuations.
The basis of computation of the various indices and the specific details on base
period, coverage etc are provided in the glossary of terms , for ready reference.
DOLLEX 30, DOLLEX 100 and DOLLEX 200 for the period 2001 to 2006 were
taken, tested for time series properties and checked for co-integration and causality
and the results are summarized in the tables 6.4.7.1 to 6.4.7.3.3.
167
168
Table 6.4.7.1.2 Johansen’s Co-integration Test EXR and DOLLEX 30 2001 - 2006
Unrestricted Cointegration Rank test Max-Eigen value test
Hypothesized No. of CE(s)
Eigen value
Trace (λtrace)
Critical Value@ 5% Prob.**
Max Eigen value (λmax)
Critical Value@ 5% Prob.**
None 0.00759
7 14.487
6 25.87211 0.6172 10.8982 19.38704 0.5239
At most 1 0.00250
9 3.5894 12.51798 0.8003 3.5894 12.51798 0.8003 The values of (λtrace) = 14.4876 and (λmax) = 10.8982 are less than
their critical values and the null hypothesis Not rejected. Trace test and Max-
eigen value test indicate No Co-integration of EXR and DOLLEX 30 at the
0.05 significance level.
6.4.7. 1 DOLLEX 30
Table 6.4.7.1.1. Unit Root Test results Level & First difference , Constant with trend
Period 2001 - 2006
Variable
Number of observations
ADF test statistic
Probability Critical value @ 5 %
EXR
-1.498643
0.1342
1430 Level
DOLLEX 30 -2.64989 0.2581
-3.41
EXR -13.45082 0.0000 First Difference
DOLLEX 30
1427
-14.1231 0.0000 Comparing the ADF test statistic obtained as above with
the critical values& the corresponding p values the hypothesis that
DOLLEX30 series has unit root cannot be rejected at level can be rejected at
their first difference as it is significant at 5%. Hence the series are stationary
at their first difference.
Table 6.4.7.1.3 Pair wise Granger Causality Tests Obs 1406 Lag 6 Sample 2001 - 2006 EXR and DOLLEX 30
Null Hypothesis: F-Statistic Probability At level LN_EXR2106 does not Granger Cause LN_ DOLLEX 30 0.46189 0.83681 LN_ DOLLEX 30 does not Granger Cause LN_EXR2106 4.41106 0.0002***
At first difference
D(LN_EXR) does not Granger Cause D(LN_DOLLEX 30) 0.30962 0.93219
D(LN_DOLLEX 30) does not Granger Cause D(LN_EXR) 4.21076 0.00033***
Considering the p- values of the F statistics as per table 6.4.7.1.3, the
null hypothesis of No causality of DOLLEX30 on EXR is significant(***) @ 1%
and hence rejected. This implies short term impact of DOLLEX on EXR.
However, there is no causality of EXR over DOLLEX30.
6.4.7.2 DOLLEX 100 2001-2006
Table 6.4.7.2.1. Unit Root Test results Level and First difference , Constant with trend
Period 2001 - 2006
Variable
Number of observations
ADF test statistic
Probability Critical value @ 5 %
EXR
-1.498643
169
0.1342 Level
DOLLEX 100
1430
-3.022072 0.1264
EXR -13.45082 0.0000
-3.41 First Difference
DOLLEX 100
1429
-14.07485 0.0000
The ADF test statistic is significant at 5 % for first difference and
therefore, the Null Hypothesis is rejected. i.e UNIT ROOT does NOT Exist
and hence the series is stationary at first difference.
Table 6.4.7.2.2 Johansen’s Co-integration Test EXR and DOLLEX 100 2001 - 2006 Unrestricted Co integration Rank Test Max-Eigen value test
0.05 Hypothesized No. of CE(s)
Eigen value
Trace (λtrace)
0.05
170
Critical Value Prob.**
Max Eigen value Critical
Value (λmax) Prob.**
None 0.008834 15.48264 25.87211 0.5346 12.6799 19.3870 0.3545
At most 1 0.001959 2.802735 12.51798 0.8991 2.80274 12.5180 0.8991
The values of (λtrace) = 15.48264 and (λmax) = 12.6799 are less than their critical
values Therefore, the null hypothesis can not be not rejected. Thus the Trace test and
Max-eigen value test indicate No Co-integration between EXR and DOLLEX 100 at the
0.05 level of significance.
Table 6.4.7.2.3 Pair wise Granger Causality Tests Obs 1431 Lag 6 Sample 2001 - 2006 EXR and DOLLEX 100
Null Hypothesis: F-Statistic Probability At level LN_EXR2106 does not Granger Cause LN_ DOLLEX 100 0.56299 0.76003
LN_ DOLLEX 100 does not Granger Cause LN_EXR2106 3.60988 0.00148***
At first difference
D(LN_EXR) does not Granger Cause D(LN_DOLLEX 100) 0.55982 0.76254
D(LN_DOLLEX 100) does not Granger Cause D(LN_EXR) 3.72761 0.0011***
The F- statistic is significant(***) @ 1% The null hypotheses of No causality for
DOLLEX 100 over EXR is rejected. This implies short term impact , where Causality runs
from DOLLEX100 to EXR . However , there is no causality of EXR over stock prices
represented by DOLLEX100
6.4.7.3 DOLLEX 200 2001-2006 Table 6.4.7.3.1.Unit Root Test results First difference , Constant with trend Period 2001 - 2006
Variable
Number of observations
ADF test statistic
Probability Critical value @ 5 %
EXR
171
Table 6.4.7.3.2 Johansen’s Co-integration Test
EXR and DOLLEX 200 2001 - 2006
Unrestricted Cointegration Rank Test Max-Eigen value test
Hypothesized No. of CE(s)
Eigen value
Trace (λtrace)
0.05 Critical Value Prob.**
Max Eigen value (λmax)
0.05 Critical Value Prob.**
None 0.008715 14.69145 25.87211 0.6002 12.50902 19.38704 0.3693
At most 1 0.001526 2.182427 12.51798 0.9564 2.182427 12.51798 0.9564 The values of (λtrace) and (λmax) are less than their critical values .at
5%. Null hypothesis cannot be rejected. The Trace test and Max-eigen value tests,
therefore indicate No Co-integration between EXR and DOLLEX200 at the 0.05 level.
-1.498643
0.1342 Level
1430
DOLLEX 200 -3.094838 0.1079 EXR -13.45082 0.0000 First
Difference DOLLEX 200
1427 -14.20332 0.0000
-3.41
Comparing the ADF test statistic obtained as above with the critical values
and the corresponding p values the hypothesis that DOLLEX200 series has
unit root cannot be rejected at level can be rejected at their first difference as it is
significant at 5%. Hence the series are stationary at their first difference.
Table 6.4.7.3.3 Pair wise Granger Causality Tests
Obs 1431 lag 6 EXR and DOLLEX 200 Sample 2001 - 2006
Null Hypothesis: F-Statistic Probability
At level LN_EXR2106 does not Granger Cause LN_ DOLLEX 200 0.30224 0.93592 LN_ DOLLEX 200 does not Granger Cause LN_EXR2106 3.95686 0.00062***
At first difference
D(LN_EXR) does not Granger Cause D(LN_DOLLEX 200) 0.26928 0.95134
D(LN_DOLLEX 200) does not Granger Cause D(LN_EXR) 3.88796 0.00074***
The F- statistic is significant (***) @ 1% for the null hypotheses of No causality of
DOLLEX 200 over EXR and hence rejected. This implies short term impact,
where Causality runs from DOLLEX200 to EXR . However, there is no causality
of EXR over stock prices represented by DOLLEX200.
6.4.8. Summary of the findings for the various BSE and DOLLEX Series
The findings from the foregoing analyses are summarized in table 6.4.8.
The extensive search using various indices with broader coverage to represent the
stock prices, reveals some common truth about the nature of impact between
exchange rate and share prices in the Indian capital market for the period 2001 to
2006.
172
Table 6.4.8
BSE SERIES AND DOLLEX SERIES Causality and Co -integration Test Results Summary
(Period 2001 - 2006 Number of observations 1435)
INDEX LAG CAUSALITY ( at Level & first Difference) COINTEGRATED
1 BSE 30 SENSEX 6
SENSEX EXR No
2 BSE100 6
BSE100 EXR No
3 BSE200 6
BSE200 EXR No
4
173
BSE500 6 BSE500 EXR No
5 DOLLEX 30 EXR DOLLEX 30 6 No
6
DOLLEX 100 EXR DOLLEX 100 6 No
7 DOLLEX 200 6 DOLLEX 200 EXR No
There is some uniform pattern of impact for all the broad based indices
during the period 2001- 2006. None of them could establish a long
term equilibrium relationship with the exchange rate during the period. However
the causality test results are consistent for the various indices with stock prices
found to be Granger causing exchange rates indicating that fluctuations in the stock
market lead the changes in the foreign exchange markets.
This also supports the portfolio balance approach to exchange rate determination. This
may be particularly true in the context of an economy which is increasingly getting
opened and integrated to the global market.
6.4.9 Unique Behavioral Patterns In Special Time Zones.
Specific patterns of rupee behaviour in terms of consistent depreciation,
appreciation and high volatility along with the corresponding time buckets- short,
medium and long term - were identified. The behaviour of share prices as indicated
by the daily closing SENSEX values were matched with the daily Exchange Rate
and their relationship studied to check whether there is a co-integrating and/or
causal relationship between the variables. The following Special Time Zones were
identified.
• July 1991 – March 1992. Devaluation of the Rupee marking the first step of
economic reformation.
• March 1992 – February 1993: Dual exchange rate (LERMS) regime.
• March 1993 – July 1994: Introduction of market determined exchange rate.
The rupee remained very docile as the controls were slowly released and the
exchange rate management shifted from a ‘controlled regime’ to a ‘managed
float’
• August 1994 – July 1995 India adopted the current account convertibility in
August 1994. Exchange Rate more or less stable.
• August 1995 to June 1996. Period of high volatility of the rupee.
• July 1996 and July/August 1997, the rupee remained very stable (at around
Rs.35 to the dollar) with RBI intervention .
• August 1997 to June 1998 - the days of wild gyration due to the Asian
Currency Crisis. Rupee depreciating from Rs 35.7 to 42.5 against the US
Dollar:
174
• July 1998 to December 2001. Post crisis period politically disturbed India, the
Nuclear test, September 11 attack and the perturbed Dollar (sub periods also
considered)
• 2001 –2002 the long lull period : US Fed-rate hardens and the ensuing capital
flight
• 2003 – 2004 the recovery period
• May 2004 – June 06 Stable growth markets: SENSEX Scaling new heights.
• Shorter sub period aligned to the ascends and descends of the Rupee
• In the Long run 15 years , 10 years and 5 years
• In the medium term (>1 to < 5 years)
• In the short term (less than one year )
Four dimensional analyses was carried out on the different pairs of data.
Volatility determined Standard Deviation and coefficient of variation
Relative volatility expressed as a multiple comparing the coefficient of variation
of the two variable in the same period
Co integration test using Johansen’s Co integration test to identify any long
term relationship leading to equilibrium
Causality of the variables one on the other for evidence of any lead- lag
relationship using Granger causality test
The results of the various tests are compiled in a summarised form as follows.
• Table 6.4.9.1 for period (1991- 2000)
• Table 6.4.9.2 for period (2001 -2006)
175
TABLE 6.4.9.1 EXR and SENSEX 1991 -2000 SPECIFIC BEHAVIORAL PATTERNS IN SPECIAL TIME ZONES
Summary statistics
TIME ZONE
Days EXR / SENSEX Std dev.
Coefft of variation %
Relative variation (Times)
Co-integrated or NOT
Results from Granger Causality Tests
EXR 0.0011 1.41 1
01/07/1991
to 01/03/1992
175
SENSEX 492.15 14.41
10.2 Yes Yes Bi -
directional
EXR 0.0011 3.2 2
01/03/1992
to 26/02/1993
260
SENSEX 492.15 16.1
5.0 Yes Yes Bi -
directional
EXR 0.0001 0.3 3
01/03/1993 to
31/07/1994 369
SENSEX 744.56 23.9 94.0 Yes Yes
Bi - directional
EXR 0.0001 0.3 4
01/08/1994 to
31/07/1995 261
SENSEX 476.10 12.6 43.2 No
No evidence of
causality
EXR 0.0011 3.9 5
01/08/1995 to
31/07/1996 262
SENSEX 281.31 8.2
2.1 No No
evidence of causality
EXR 0.0001 0.2 6
01/08/1996 to
31/07/1997 261
SENSEX 382.05 10.8 46.1 No
YES EXR
causes SENSEX
EXR 0.0013 5.0 7
01/08/1997 to
30/06/1998 238
SENSEX 325.07 8.6 1.73 No
YES Sensex causes EXR
EXR 0.0001 0.55 8 01/08/1998
to 30/06/1999
261 SENSEX 390.49 11.8
21.30 No No
evidence of causality
EXR 0.0007 2.9 9 01/7/1998
to 31/12/2000
653 SENSEX 794.10 19.3
6.60 No Yes Bi -
directional
EXR 0.0002 0.8 10 01/7/1999
to 30/6/2000
262 SENSEX 412.87 8.5
10.2 No No
evidence of causality
EXR 0.0046
6 16.2 11
01/07/1991
to 31/12/2000
1.5 No Yes Bi -
directional
2480
SENSEX 822.70 23.6
EXR 0.0051 19.4 12
7/1/1991 to
30/6/2006 3915
SENSEX 1782.6
8 43.1 2.2 Yes
Yes Bi -
directional *Based on Results from Johansen’s Co-integration and Granger causality test details on file 6.4. CD Rom
176
TABLE 6.4.9.2 2001 -2006 SPECIFIC BEHAVIORAL PATTERNS IN SPECIAL TIME ZONES
Summary statistics
TIME ZONE
Days EXR / SENSEX Std dev.
Coefft of variation
Relative variation
Co-integrated or NOT
Results from Granger Causality Tests
EXR 0.0008 3.6 1
01/01/2001
to 30/06/2006
1435
SENSEX 2355.49 44.9
12.3 No Yes
Bi - directional
EXR 0.0004 1.8 2
01/01/2001
to 15/05/2002
358 SENSEX 371.37 10.7
6.1 YES Yes
Bi - directional
EXR 0.0003 1.6 3
21/1/2001 to
07/4/2003 638
SENSEX 311.02 9.4
5.7 No Yes Bi -
directional
EXR 0.0006 2.9 4 16/05/2002
to 31/03/2004
491 SENSEX 1013.17 26.1
9.1 No No
EXR 0.0002 0.9 5
28/11/2003 to
01/04/2004
90 SENSEX 272.48 4.8
5.3 No No
EXR 0.0004 1.9 6
01/04/2004 to
30/07/2004 87
SENSEX 425.67 8.2
4.3 No
YES SENSEX causes EXR
EXR 0.0004 2.0 7
01/04/2004 to
31/12/2004 197
SENSEX 511.29 9.3
4.7 No
YES SENSEX causes EXR
EXR 0.0005 2.3 8 02/08/2004
to 03/02/2005
134 SENSEX 474.49 8.1
3.5 No No
EXR 0.0005 2.3 9
02/08/2004 to
05/12/2005 351 SENSEX 1011.71 14.9
6.6 No No
EXR 0.0001 0.4 10 17/12/2004
to 30/09/2005
206 SENSEX 651.58 9.4
26.2 No No
EXR 0.0003 1.6 11
06/12/2005 to
31/01/2006 41
SENSEX 264.09 2.8
1.8 No No
EXR 0.0004 1.9 12
01/02/2005 to
30/06/2006 369
SENSEX 1767.08 20.6
10.6 No No
EXR 0.0005 2.1 13 1/07/2003
to 30/06/2006
784
177
SENSEX 2124.97 31.1
14.6 No
YES SENSEX causes EXR
EXR 0.0003 1.5 01/02/2006
to 30/06/2006
14 108 SENSEX 855.59 7.9
5.2 No No
*Based on Results from Johansen’s Co-integration and Granger causality test details on file 6.4. CD Rom
The following time varying nexus of dynamic relationship was
observed for different time zones during the period (ref. tables 6.4.9.1 and
6.4.9 .2).
• In the long term
15 years (1 July 1991 to 30 June 2006) Bi- directional causality.
10 years (1 July 1991 to 31 Dec 2000) Bi- directional causality .
5 years
o July1991 to July 1995 Bi- directional causality.
o July 1995 to December 2000 N0 causality.
o January 2001 to June2006 Bi- directional causality.
• In the medium term (>1 to < 5 years)
Bi-directional during1991-1992, 1993-1994, 1998-2000,
2001-2002 and 2001-2003 .
Unidirectional from EXR causing SENSEX1996-1997 and SENSEX
causing EXR 2003 -2006
• In the short term (less than one year )
Unidirectional influence of SENSEX on exchange rate during August
1997- June1998, April 2004 -July 2004 and April 2004 -Dec 2004,
which concurs with the portfolio approach according to which stock
prices lead exchange rates with a negative correlation
And no interdependence between the variables during the periods
August 1994 - July 1996, August 1998- June 1999, July 1999 - June
2000, May 2002 - March2003, Nov 2003- March 2004 , August 2004-
Feb 2005, Dec 2004 - Sept 2005, Dec 2005 - Jan 2006 and
Feb 2006 to June 2006.
178
Causality is a matter of short term dynamics. While in time zone 1996-
2000 neither causality nor co-integration was evidenced for the five year period in
toto, traces of causality was observed in shorter periods in between. The opposite
was true for the long term fifteen years (1991 o 2006) for which both co-
integration and causality tests proved with positive results supporting a dynamic
equilibrium relationship. This was not true for the sub periods suggesting that a
stable exchange rate causes and supports rising prices in the stock market and this
held true for the fairly long stretches of placidity.
6.4.9.2 There were several notable episodes which raised the volatility of the
exchange rate and mostly set contemporaneous impact on the share prices as
follows
• 1991 the double devaluation of the rupee against the dollar as the first
step of kick starting the economic reforms
The stock prices were negatively correlated with the weakening
exchange rate
Causality test revealed EXR shocks impacted the SENSEX. whereby
the Devaluations in the rupee caused the SENSEX to rise.
• 1992 LERMS - dual exchange rate raising volatility.
Both appeared to be interrelated, mutually influencing both in the
short run and long term equilibrium evidenced by the presence of
causality and co- integration.
Both Foreign exchange rate and SENSEX were highly volatile with
strong co movement, partly attributed to the securities scam.
179
• August 1994. Partial convertibility of currency instituted, rupee made
stable.
Share prices responded positively to the relatively stable rupee
Causality test revealed EXR fluctuations caused volatility in
SENSEX.
• August1997 Asian crisis.
The response to the crisis was slow but both markets were under bear
hug. Although there was no statistically significant interaction, SENSEX
seemed to lead the run down, impacting volatility on the exchange rate.
• September 2001: Terrorist attack.
This resulted in rampant weakening of the dollar, but dollar-rupee
parity remained almost stable for sometime. But the shock waves
impacted the stock market heavily. Stock market rumbled down about ten
times faster than foreign exchange market and the movement was strongly
integrated. These findings are consistent with Downburst’s (1976) findings
that “Exchange rates can temporarily overshoot in the wake of certain
disturbances.”
• The global slowdown and the recovery 2001-2002-2003
The process of global slowdown affected the liquidity of the Indian stock
market and the market went through a dull phase during 2001 to 2002. In
May 2002, with the hardening of Fed – rate, Rupee was worst hit and
there was outbound capital flight. The two markets were passive and were
independent of each other with neither co-integration nor causality.
180
Recessionary trends and economic slowdown prevailed globally.
Recovery resumed from 2003 onwards recording a smart rally. Both
markets responded favourably, supporting each other.
From 2003 onwards India transited through a steady progress.
The economic progress gave fundamental strength to both markets. A
temporary aberration in the stock market was reflected in the volatility of the
rupee as well.
• In good times and bad times
In sober market conditions, with no major shocks and where
volatility was minimal, long term relationship prevailed and there was
mutual support for each other. This was testified by the presence of co-
integration and bi-directional causality. The two variables were found to
be significantly linked in the non-crisis stable periods but unpredictable
during the crisis hit periods. In good times the two variables are closely
interrelated bearing a positive correlation; ie a strengthening rupee
supports the momentum in stock market demonstrating the fundamental
strength of the economy. The substantial surge in capital inflow of
which a major share was accounted for by FIIs triggered a bull run in
the stock market and a cyclical effect in foreign currency market.
Unlike in the past, the recent surge in capital flows into the stock
market has been more substantial and prolonged.
181
6.4.10 Impact On Various Industry Sectors (EXR Vs Sectoral indices)
The nature of the industry and the type of response they have to the fluctuations in
exchange rate need not be uniform. An analysis of the response of share prices in each
industry sector was mapped using Sectoral indices to represent the industry groups and
were regressed on daily exchange rates of Rupee against the US dollar. The summary
statistics and results of co-integration and causality test are presented in table 6.4.10
TABLE 6.4.10 EXR and SECTORAL INDICES 2001 - 2006 Summary statistics
Sector Days EXR / INDEX Std dev.
Coefft of variation %
Relative variation
Co-integrated?
Evidence of causality
EXR 0.0005 2.10 1
AUTO-MOBILE 485
BSEAUTO 1017.4 29.10 13.9 NO No evidence
of causality
EXR 0.0005 2.1 2
BANK- ING 789
BANKEX 1116.4 31.5 14.7 Yes
EXR to
BANKEX
EXR 0.0008 3.70 3
CONSUMER DURABLES
1429 BSECD 834.80 65.7
17.9 No No evidence of causality
EXR 0.0008 3.7 4 CAPITAL
GOODS 1435 BSECG 2072.2 88.9 24.3 No No evidence of causality
EXR 0.0008 3.7 5 FMCG 1435 FMCG 344.80 32.3
8.8 No No evidence
of causality
EXR 0.0008 3.7 6 HEALTHCARE
1435 BSEHC 810.80 40.1
11.0 Yes YES Bi directional
EXR 0.0008 3.7 7 INFO
TECH 1435 BSEIT 819.2 39.4
10.80 No No evidence
of causality
EXR 0.0005 2.10 8 METALS 485 BSEMETAL 1378.7 21.4
10.20 No No evidence of causality
EXR 0.0005 2.1 9 OIL 485
BSEOIL 836.12 22.3 10.60 No BSEOIL
to EXR
EXR 0.0008 3.8 10 PSU 1324
BSEPSU 1509.0 51.9 13.7 No
EXR to
BSEPSU
EXR 0.0008 3.8 11
TECHN-OLOGY 1277
BSETeck 597 44.3 11.6 Yes YES
Bi directional
EXR 0.0004 2.0 12 MIDCAP 320
182
BSEMIDCAP 762.9 17.9 8.8 No No evidence
of causality
EXR 0.0004 2.0 13 SMALL-CAP 320
BSESMALLCAP 939.5 16.8 8.4 No No evidence
of causality
Source: Data analysis: Details of descriptive statistics, test result and supporting data on CD ROM
Of the thirteen industry sectors identified, only Banking, Technology
and Healthcare sectors were found to have long run and short run relationship with
exchange rate. Share prices in OIL and Auto sectors seemed to cause short run
effect on exchange rate.
The relative volatility of each sector measured in terms of the coefficient of
variation of sector index divided by that of the exchange rate is depicted below in
Chart 6.4.10.1 below.
CHART 6.4.10.1EXR Vs INDUSTRY SECTORAL INDICES
RELATIVE CHANGE
0%10%20%30%40%50%60%70%80%90%
100%
AUTOBANK CD
CAPFMCG
HEALTH IT
METALS OIL
PSUTec
k
MIDCAP
SMLLCAP
Coe
fft.
of v
aria
tion
Sector
EXR
Source: Data analysis: Drawn based on the analysis of daily data on sector indices and exchange rate collected from RBI & BSE publications (appendix - Tables & Chart: Soft coy attached)
From chart 6.4.10.1 above it could be seen that share prices for firms in the
Capital Goods segment were mostly affected by the changes in the exchange rates,
followed by those of consumer durables, PSUs, and Teck sectors respectively. The
impact on FMCG Metals, OIL, MIDCAP and SMALLCAP sectors were among the
least.
183
6.4.10.2 The Correlation between the exchange rate and the various industry indices
is depicted in chart 6.4.10.2 below.
Chart 6.4.10.2Correlation between EXR and Sectoral Indices
2001- 2006
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1AU
TO
BAN
K CD
CAP
FMC
G
HEA
LTH IT
MET
ALS
OIL
PSU
Teck
MID
CAP
SMLL
CAP
Source: Data analysis: Prepared based on the data on daily indices and Exchange rate (2001- 2006)
Exchange-rate changes have negative effects on some industries but
positive effects on other industries. Import intensive sectors like Automobile, Oil,
Metals, small cap and mid cap companies responded negatively to the weakening
rupee. All other sectors were found to be positively correlated with the depreciating
rupee during 2002 to 2006.
6.4.11 How Individual Companies Respond To Fluctuations In Exchange
Rates.
The impact of the exchange rate fluctuations at the micro level was studied
by applying co-integration and causality tests on data on individual companies. Pairs of
data sets were formed by taking daily closing share prices of the firm and the daily
exchange rate over the period 1st January 2000 to 30 June 2006, except in case of a few
which were available for shorter periods on NSE/BSE.
184
6.4.11.1 Hundred companies were chosen based on the following criteria to understand
how individual firm’s share prices responded to the exchange rate fluctuations.
• Companies which were part of SENSEX as on 31 March 2006
• Companies which were part of NIFTY as on 31 March 2006
• And some from BSE 200 as they were either export intensive or import
intensive.
Only 99 were included in the final analysis as one of them (Reliance
Communication) was excluded for want of sufficient number of observations. For
each company daily closing prices and the corresponding days’ exchange rate of Rupee
to one US $ were collected covering the period January 2000 to June 2006(Soft copy of
data file attached).The data sets were tested for Stationarity, Causality and Co-
integration. Like in case of indices the time series of the share prices of the firms were
found to be stationary at their first difference. The results of the Co- integration and
causality tests for the selected companies are summarized as under in table 6.4.11.1
(The detailed test results are provided in the soft copy in folder named ‘Data Analysis’
in soft copy.)
185
Table 6.4.11.1 Summary of the results of Co integration and Causality Tests for
Selected Companies. Causality SL.
No Name of the company
No.of Observati
ons Lag
Co- integrated (Yes/No)
Yes/ NO
Direction of causality
1 ABB 1687 8 No Yes EXR Cause SP 2 ACC 1687 6 No Yes SP causes EXR 3 Alok Industries. 1675 6 No No 4 Arvind Mills 1687 2 Yes Yes Bi- Directional* 5 Aurobindo Pharma 1687 2 No Yes SP causes EXR 6 Aventis Pharma 1687 6 Yes Yes SP causes EXR* 7 BAJAJ AUTO 1687 6 No Yes SP causes EXR* 8 Bharat Forge 1693 6 No No 9 BHARATI Tele. 1107 8 No Yes SP causes EXR 10 Bharti Airtel Ltd. 1102 8 No Yes SP causes EXR 11 BHEL 1687 8 No Yes SP causes EXR 12 Biocon 576 3 No Yes SP causes EXR 13 BPCL 1690 2 Yes Yes SP causes EXR 14 CASTROL 1420 6 No No 15 Chennai Petroleum 154 3 No No 16 CIPLA 1693 7 No Yes Bi- Directional 17 Cummins India 1693 3 No No 18 DABUR india 1693 7 No No 19 Divi's Lab 861 2 No No 20 DRL 1693 3 No No 21 EIH 1686 6 No No 22 Essar Shipping 1687 6 No No 23 G S F C 1686 6 No No 24 GAIL 1687 6 No Yes SP causes EXR 25 Glaxo 1687 6 No Yes SP causes EXR 26 GRASIM 1687 6 No Yes SP causes EXR 27 GTL 1687 3 No Yes SP causes EXR 28 GUJARAT Ambuja 1693 2 No No 29 H P C L 1693 3 No No 30 1686 6 No HCL Infosystems No 31 1686 8 No No HCL TECh 32 HDFC 1685 11 No Yes SP causes EXR 33 HDFC BANK 1685 10 No Yes Bi- Directional
186
Table 6.4.11.1 continued..
Causality
SL. No Name of the company No.of
Observations
Lag
Co- integrat
ed (Yes/N
o)
Yes/ NO
Direction of causality
34 HERHON 1692 2 No Yes SP causes EXR
35 HEXAWARE 1588 6 No Yes SP causes EXR
36 HINDALCO 1687 6 No Yes SP causes EXR
37 Hinduja TMT 1693 2 No Yes SP causes EXR
38 HLL 1693 6 No Yes SP causes EXR
39 Hotel Leela 1687 7 No No
40 ICICI 1687 8 Yes Yes Bi- Directional
41 I-Flex Solutions 1043 2 No Yes SP causes EXR
42 Indian Hotels 1689 6 No Yes Bi- Directional*
43 Indian Oil 1693 7 No Yes SP causes EXR
44 INFOSYS 1689 8 No Yes EXR Causes SP
45 IPCL 1693 8 No Yes SP causes EXR
46 ITC 1687 8 No No
47 Jet Airways 1687 8 Yes No
48 Jindal Saw 1687 6 No Yes SP causes EXR
49 Jindal Stainless 681 2 No Yes SP causes EXR
50 JSW Steel 1668 2 No No
51 Jubilant Organ. 1500 6 No No
52 K E C International 79 1 No No
53 L & T 1262 6 No Yes SP causes EXR
54 Lupin 1632 2 No Yes SP causes EXR
55 M & M 1689 6 No Yes SP causes EXR
56 M I C O 1687 6 No Yes EXR Causes SP
57 Mangalore Ref. 1687 4 No Yes SP causes EXR
58 MARUTI UDYYOG 776 2 No Yes SP causes EXR
59 Matrix Labs. 1687 6 No Yes EXR Causes SP
60 Micro Inks 1687 2 No Yes SP causes EXR
61 Moser Baer (I) 1686 6 No No
62 MPhasis BFL 1603 3 No No
63 MTNL 6 No Yes SP causes EXR 1689
64 NALCO 1684 2 No No SP causes EXR
65 NTPC 430 2 No No SP causes EXR
66 OBC 1689 6 No Yes
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Bi- Directional
Table 6.4.11.1 continued..
Causality SL. No Name of the
company
No.of Observations
Lag Co-
integrated
(Yes/No) Yes/ NO
Direction of causality
67 ONGC 1692 3 Yes Yes Bi- Directional
68 Orchid Chemicals 1680 6 No Yes EXR Causes SP
69 Patni computers 611 2 No No
70 Petronet LNG 582 6 No Yes EXR Causes SP
71 PNB 1084 6 No Yes SP causes EXR
72 Punj Lloyd 125 1 Yes Yes EXR Causes SP
73 RANBAXY 1686 7 No Yes Bi- Directional
74 REL 1681 8 No No
75 RIL 1625 8 No Yes SP causes EXR
76 Rolta India 1687 6 No No
77 SAIL 1692 3 No Yes SP causes EXR*
78 Satyam 1626 8 No Yes SP causes EXR
79 SBI 1687 8 No Yes Bi- Directional
80 Sesa Goa 1687 8 No Yes SP causes EXR
81 Shree Renuka Sug 174 1 No No
82 SHIPPING 1692 2 No Yes SP causes EXR
83 SIEMENS 1684 3 No No
84 SpiceJet 1687 6 No No
85 Sterling Biotech 1640 6 No No
86 Sterlite Inds. 1286 10 No No
87 Sun Pharma 1689 6 No Yes EXR Causes SP
88 SUZLON 180 1 No No
89 Tata Chemicals 1689 6 Yes Yes Bi- Directional*
90 Tata Motors 654 2 No Yes SP causes EXR
91 TATA POWER 1687 6 No Yes SP causes EXR
92 TATA TEA 1689 6 No No
93 TCS 481 2 No No
94 TISCO 1628 6 No Yes SP causes EXR*
95 United Phosphates 1693 2 No No
96 VSNL 1687 6 No No
97 WIPRO 6 No Yes Bi- Directional 1627
98 Wockhardt 2 Yes No 1634
99 ZEE TELE 1692 3 No Yes SP causes EXR
* at 10% significance . All others at 5% significance Source: Data analysis Detailed test results in appendix 6.4.11 in softcopy on the CD-ROM
188
At the micro level individual companies responded differently to the
exchange rate fluctuations and no conclusive patterns could be seen in the behavior of
the share prices. Only seven companies indicated some sort of long term relationship
between the share price and the exchange rate and forty two companies indicated short
run relationship with exchange rate changes. This is evidenced by the co integration
and causality test results indicated above table 6.4.11.1. Detailed test results are
appended in Annexure 6.4.11.in soft copy form
6.4.11.2 In order to identify whether there was any special impact on the firms,
dependent on their multinational characteristics, some companies belonging to BSE
200 were included in the study , based on whether they were
Export intensive - Foreign exchange inflow is more than the foreign exchange
outgo(48 companies). Import intensive - whose revenue expenses are substantively import based and
the foreign exchange outgo is more than the foreign exchange earned (30
companies). Domestic - where the net foreign exchange earnings or outgo is either nil or
negligible and whose earnings and expenses are substantively in Rupees (22
companies). Accordingly the sample consisted of 48 companies which were Export
intensive, 30 import intensive and 22 in the domestic category. To get further insights,
the results from table 6.4.11.1 were cross tabulated based on the above categorization,
and is presented in table 6.4.11.2 below.
189
TABLE 6.4.11.2 Impact of Exchange Rate on Individual Company's Share Price categorised by multinational characteristics - SUMMARY
CAUSALITY Number of companies \
Category TOTAL Co-
integratedOnly
EXR to SP
Only SP to EXR
Both Bi -
Directional NONE
Domestic 21 1 0 13 4 4
Export intensive 5 5 48 4 16 22
30 4 3 14 2 11 Import intensive
99 9 8 43 11 37 Total
Percentage under each category 100.0% 9.1% 8.1% 43.4% 11.1% 37.4%
Source: Data Analysis : Based on the results of the test of co-integration and causality of daily exchange rate and share prices . Refer 6.4.11.1above and 'Tables for chapters, in the folder appendix in the soft copy (CD ROM).
On the whole, 54(43+11) companies had causality running from Stock
prices to Exchange rate, 19(8+11) companies with causality from exchange rate to
Stock prices, 11 companies with two way causality and 37 with no causality, depicting
the short term dynamics and 9 companies indicating long- term co- movements.
According to the ‘goods market approach10’ it is generally believed that
exchange rate competitiveness affects export return and hence has impact on the
value and on the share price of export intensive companies. However, this was true
only in case of ten (5 +5) companies, accounting for just above 20% in the export
intensive category in the selected sample (Table 6.4.11.2).
10 Dornbusch and Fisher , 1980
190
On the whole, across the various categories also, approximately 20% of the
companies had impact from exchange rate fluctuations. This included four banks in
the domestic category and two import intensive companies with Bi- directional causality
(EXR SP).
In the import intensive category of 30 companies, only five (3+2)
companies’ share prices had any impact from exchange rate fluctuations and for
about 53% of the companies stock prices were leading the short term influence.
From the above test results, it appears that the impact of exchange rate
fluctuations was company specific and possibly depended on the foreign exchange
exposure and the risk management strategies adopted by each company. In case of
companies for which hedging was incomplete, it affected the performance results and
the market discounted such factors on a gross basis. When the changes in exchange
rate was gradual such information did not appear to be market sensitive. It was also
seen that even for some of those companies with substantive foreign exchange
exposure, there was no statistically significant impact on the share prices from the
exchange rate fluctuations.
The chapter has provided a detailed report on the extensive search for the
Impact of exchange fluctuations on the share prices in the Indian capital market. It
has been indeed difficult to tame the vagaries of the market into a rigid model which is
statistically perfect fitting. However, the results of the various tests when analyzed in
detail tell volumes about the realities of the market and relevance of various policy
regimes.
191